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20131106957629 is a prime number
BaseRepresentation
bin1001001001111001000110…
…11110101010100100111101
32122021111220110100000200021
410210330203132222210331
510114312001340121004
6110452034115132141
74145265411540643
oct444744336524475
978244813300607
1020131106957629
116461611073888
122311662ba4051
13b30480604085
144d84ca757193
1524d9c9ea6d54
hex124f237aa93d

20131106957629 has 2 divisors, whose sum is σ = 20131106957630. Its totient is φ = 20131106957628.

The previous prime is 20131106957567. The next prime is 20131106957671. The reversal of 20131106957629 is 92675960113102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14046769401604 + 6084337556025 = 3747902^2 + 2466645^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131106957629 - 27 = 20131106957501 is a prime.

It is a super-2 number, since 2×201311069576292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131106957029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065553478814 + 10065553478815.

It is an arithmetic number, because the mean of its divisors is an integer number (10065553478815).

Almost surely, 220131106957629 is an apocalyptic number.

It is an amenable number.

20131106957629 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131106957629 is an equidigital number, since it uses as much as digits as its factorization.

20131106957629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 20131106957629 in words is "twenty trillion, one hundred thirty-one billion, one hundred six million, nine hundred fifty-seven thousand, six hundred twenty-nine".